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Hopf Bifurcations in Two-Player Delayed Replicator Dynamics
Hopf Bifurcations Two-Player Delayed Replicator Dynamics
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2015/8/26
We investigate the dynamics of two-strategy replicator equa-tions in which competition between strategies is delayed by a given time interval T. Taking T as a bifurcation parameter, we demonstrate the...
Hopf Bifurcations in Delayed Rock–Paper–Scissors Replicator Dynamics
Replicator Delay Hopf bifurcation Limit cycle Lindstedt
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2015/8/26
We investigate the dynamics of three-strategy (rock–paper–scissors) replicator equations in which the fitness of each strategy is a function of the population frequencies delayed by a time interval T....
COMPUTING HOPF BIFURCATIONS II: THREE EXAMPLES FROM NEUROPHYSIOLOGY
Hopf bifurcation resultant bialternate product neuron model
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2015/8/25
In a previous paper [11] we presented algorithms for detecting Hopf bifurcations in
two-parameter families of vector elds based on classical algebraic constructions. In addition to their
utility as...
On Degenerate Planar Hopf Bifurcations
Hopf bifurcation limit cycles averaging method
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2010/4/7
Our concern is the study of degenerate Hopf bifurcation of smooth planar dynamical systems near isolated singular points. To do so, we propose to split up the definition of degeneracy into two types. ...